Question

6. (a+b-c)+2; 7. a+(b-c); 8. a-(a-b+c); 9. (x+y)-(x-y); 10. (a-b+1)-(a+b-1). 11. (m+p-q)-p; 12. m+(p-m); 13. m-(m-p+q); 14. (p+q)-(p-q); 15. (m-p+5)-(m+p-3).

Answer 1

6)a+b-c+2. 7)a+b-c. 8)b+c. 9)2y. 10)-2b. 11)m-q. 12)p. 13)-p+q. 14)2q. 15)-2p+8

Answer 2

Let's simplify each of the given expressions:

6. (a+b-c) + 2: Simplification: a + b - c + 2

7. a + (b-c): Simplification: a + b - c

8. a - (a-b+c): Simplification: a - a + b - c Simplification (further): b - c

9. (x+y) - (x-y): Simplification: x + y - x + y Simplification (further): 2y

10. (a-b+1) - (a+b-1): Simplification: a - b + 1 - a - b + 1 Simplification (further): -2b + 2

11. (m+p-q) - p: Simplification: m + p - q - p Simplification (further): m - q

12. m + (p-m): Simplification: m + p - m Simplification (further): p

13. m - (m-p+q): Simplification: m - m + p - q Simplification (further): p - q

14. (p+q) - (p-q): Simplification: p + q - p + q Simplification (further): 2q

15. (m-p+5) - (m+p-3): Simplification: m - p + 5 - m - p + 3 Simplification (further): -2p + 8

If you have any more expressions you'd like to simplify or if there's anything else I can assist you with, feel free to ask!